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12120100102121 = 111101827282011
BaseRepresentation
bin1011000001011110111001…
…0000101101111111101001
31120220200002121121102120212
42300113232100231333221
53042033431111231441
641435521440030505
72360435244023564
oct260275620557751
946820077542525
1012120100102121
1139531185a0150
121438b59002435
1369bbc755507b
142dc88a3414db
15160411a9aeeb
hexb05ee42dfe9

12120100102121 has 4 divisors (see below), whose sum is σ = 13221927384144. Its totient is φ = 11018272820100.

The previous prime is 12120100102067. The next prime is 12120100102129.

12120100102121 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12120100102121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12120100102096 and 12120100102105.

It is not an unprimeable number, because it can be changed into a prime (12120100102129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 550913640995 + ... + 550913641016.

It is an arithmetic number, because the mean of its divisors is an integer number (3305481846036).

Almost surely, 212120100102121 is an apocalyptic number.

12120100102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12120100102121 is a deficient number, since it is larger than the sum of its proper divisors (1101827282023).

12120100102121 is a wasteful number, since it uses less digits than its factorization.

12120100102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101827282022.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 12120100 and 102121, that added together give a palindrome (12222221).

The spelling of 12120100102121 in words is "twelve trillion, one hundred twenty billion, one hundred million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 11 1101827282011 12120100102121